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Table Of Integrals Series And Products

Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)

Recent trends in modeling of deteriorating inventory

Mathematica--A System for Doing Mathematics by Computer.

This paper presents a complete and up-to-date survey of published inventory literature for the deteriorating (decaying) inventory models. More specifically, those papers are addressed that consider the effect of deterioration as a function of the on-hand level of inventory. The basic features, extensions and generalization of various models are discussed. A classification scheme is presented along with suggestions for future research.

https://link.springer.com/content/pdf/10.1057%2Fjors.1991.4.pdf

Survey of Literature on Continuously Deteriorating Inventory Models

An order-level inventory model is developed for deteriorating items with uniform rate of production and stock-dependent demand. Shortages are allowed, and excess demand is backlogged. Results are illustrated with numerical examples.

https://link.springer.com/content/pdf/10.1057%2Fjors.1989.75.pdf

An Inventory Model for Deteriorating Items and Stock-dependent Consumption Rate

An order level inventory system for deteriorating items has been developed with demand rate a ramp type function of time. Deterministic and probabilistic demand situations are discussed. The results obtained have been compared with the corresponding results in the absence of deterioration and finally a numerical example for the deterministic demand situation has been studied along with its sensitivity.

Order level inventory system with ramp type demand rate for deteriorating items

Numerical solution of some classes of integral equations using Bernstein polynomials

The problem of oblique water wave diffraction by two equal thin, parallel, fixed vertical barriers with gaps present in uniform finite-depth water is investigated here. Three types of barrier configurations are considered. A one-term Galerkin approximation is used to evaluate upper and lower bounds for reflection and transmission coefficients for each configuration. These bounds are seen to be very close numerically for all wave numbers and as such their averages produce good numerical estimates for these coefficients. Only the bounds for the reflection coefficient are numerically computed. These are also numerically compared with the results obtained by using multiterm Galerkin approximations involving Chebyshev polynomials for a wide range of parameters. Numerical results for the reflection coefficients for the three barrier configurations are presented graphically. It is seen that total reflection occurs only for the surface-piercing barriers while total transmission occurs for all the three configurations considered here. It is also observed that the introduction of an equal second barrier to a submerged barrier increases the reflection coefficient considerably in some frequency bands and as such submerged double barrier configurations are preferable to a submerged single barrier for the purpose of reflecting more wave energy into the open sea.

Oblique Wave Diffraction by Parallel Thin Vertical Barriers with Gaps

Contents: Introduction The Basic Equations Some Important Mathematical Concepts and Results Explicit Solutions to Some Barrier Problems Vertical Wall with a Narrow Gap Approximate Solution Oblique Wave Scattering by Barriers Nearly Vertical Barriers and Special Boundary Value Problems Thin Vertical Barriers in Finite Depth Water Thick Rectangular Barriers in Finite Depth Water Interface Wave Scattering by Barrier Incoming Water Waves Against a Vertical Cliff Second-Order Wave Scattering Appendices Bibliography Index.

B. N. Mandal

Papers

An Inventory Model for Deteriorating Items and Stock-dependent Consumption Rate

Order level inventory system with ramp type demand rate for deteriorating items

Numerical solution of some classes of integral equations using Bernstein polynomials

Oblique Wave Diffraction by Parallel Thin Vertical Barriers with Gaps

Water Wave Scattering by Barriers